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Finding the Fourth Proportional to 16,954, 25,431.12 and 4,642

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Solution

The fourth proportional to 16,954, 25,431.12 and 4,642 is: 6,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954 : 25,431.12 = 4,642 : x
  2. Step 2: Convert to fraction form
    16,954/25,431.12 = 4,642/x
  3. Step 3: Cross multiply
    16,954x = 25,431.12 × 4,642
  4. Step 4: Simplify right side
    16,954x = 118,051,259.04
  5. Step 5: Solve for x
    x = 118,051,259.04/16,954
  6. Step 6: Final answer
    x = 6,963.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.